Introductory Treatise On Lie's Theory Of Finite Continuous Transformation Groups
by John Edward Campbell
Publisher: Oxford Clarendon Press 1903
ISBN/ASIN: 1406720259
Number of pages: 460
Description:
In this treatise an attempt is made to give, in as elementary a form as possible, the main outlines of Lie's theory of Continuous Groups. Even those familiar with the theory of Continuous Groups may find something new in the form in which the theory is here presented.
Download or read it online for free here:
Download link
(multiple formats)
Similar books
Notes on Differential Geometry and Lie Groupsby Jean Gallier - University of Pennsylvania
Contents: Introduction to Manifolds and Lie Groups; Review of Groups and Group Actions; Manifolds; Construction of Manifolds From Gluing Data; Lie Groups, Lie Algebra, Exponential Map; The Derivative of exp and Dynkin's Formula; etc.
(6305 views)
Introduction to Lie Groups, Adjoint Action and Some Generalizationsby Marcos M. Alexandrino, Renato G. Bettiol - arXiv
These lecture notes provide a concise introduction to Lie groups, Lie algebras, and isometric and adjoint actions, aiming at advanced undergraduate and graduate students. A special focus is given to maximal tori and roots of compact Lie groups.
(5881 views)
Continuous Groups Of Transformationsby Luther Pfahler Eisenhart - Princeton University Press
'Continuous Groups Of Transformations' sets forth the general theory of Lie and his contemporaries and the results of recent investigations with the aid of the methods of the tensor calculus and concepts of the new differential geometry.
(1695 views)
Roots of a Compact Lie Groupby Kristopher Tapp - arXiv
This expository article introduces the topic of roots in a compact Lie group. Compared to the many other treatments of this standard topic, I intended for mine to be relatively elementary, example-driven, and free of unnecessary abstractions.
(3144 views)